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Linear Algebra: Inverse of a Function, Surjective and Injective Functions

A series of linear algebra lectures given in videos by Khan Academy.

 

 

Linear Algebra: Introduction to the inverse of a function

 

 

Proof: Invertibility implies a unique solution to f(x)=y
Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.

 

 

Surjective (onto) and Injective (one-to-one) functions
Introduction to surjective and injective functions

 

 

Relating invertibility to being onto and one-to-one
Relating invertibility to being onto (surjective) and one-to-one (injective)

Determining whether a transformation is onto

 

 

 

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